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SM ISO690:2012 BHAT, Vijay-Kumar, SINGH, Pradeep, DUTTA, Arun. Transparency of Ore extensions over left σ -(S, 1) rings. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2018, nr. 3(88), pp. 14-21. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 3(88) / 2018 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 512.533.2 | ||||||
MSC 2010: 16S36, 16N40, 16P40. | ||||||
Pag. 14-21 | ||||||
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Rezumat | ||||||
Let R be a ring and be an endomorphism of R. Recall that a ring R is said to be a left σ-(S, 1) ring if for a, b ∈ R, ab = 0 implies that aRb = 0 and σ(a)Rb = 0. In this paper we discuss a stronger type of primary decomposition (known as transparency) of a left σ-(S, 1) ring R, and Ore extension R[x; ]. |
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Cuvinte-cheie automorphism, quotient ring, left σ-(S, 1) ring, transparent ring. |
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